Finding the Third Proportional to 120,307 and 261,105

Step by Step Solution

1. Step 1: Write the proportion equation
   120,307 : 261,105 = 261,105 : x
2. Step 2: Convert to fraction form
   120,307/261,105 = 261,105/x
3. Step 3: Cross multiply
   120,307x = 261,105 × 261,105
4. Step 4: Simplify right side
   120,307x = 68,175,821,025
5. Step 5: Solve for x
   x = 68,175,821,025/120,307
6. Step 6: Final answer
   x = 566,682.08